Add 10/25 and 49/42, Solve 10/25 + 1 7/42 as a fraction

Add 10/25 and 49/42

1^st number: 10/25, 2^nd number: 1 7/42

10/25 + 49/42 is 47/30.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 25 × 42 = 1050,
10/25 = 10 × 42/25 × 42 = 420/1050
Likewise, for the 2nd fraction, since 42 × 25 = 1050,
49/42 = 49 × 25/42 × 25 = 1225/1050
Add the two like fractions:
420/1050 + 1225/1050 = 420 + 1225/1050 = 1645/1050
1645/1050 simplified gives 47/30
So, 10/25 + 49/42 = 47/30
In mixed form: 117/30

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